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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x/（x+676.5-863.2） = 2.648 .
Question type: Equation
Solution:Original question:
| x | ÷ | ( | x | + | 1353 2 | − | 4316 5 | ) | = | 331 125 |
| Multiply both sides of the equation by: | ( | x | + | 1353 2 | − | 4316 5 | ) |
| x | = | 331 125 | ( | x | + | 1353 2 | − | 4316 5 | ) |
| x | = | 331 125 | x | + | 331 125 | × | 1353 2 | − | 331 125 | × | 4316 5 |
| x | = | 331 125 | x | + | 447843 250 | − | 1428596 625 |
| x | = | 331 125 | x | − | 617977 1250 |
Transposition :
| x | − | 331 125 | x | = | - | 617977 1250 |
Combine the items on the left of the equation:
| - | 206 125 | x | = | - | 617977 1250 |
By shifting the terms and changing the symbols on toth sides of the equation, we obtain :
617977 1250 | = | 206 125 | x |
If the left side of the equation is equal to the right side, then the right side must also be equal to the left side, that is :
206 125 | x | = | 617977 1250 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 617977 1250 | ÷ | 206 125 |
| = | 617977 1250 | × | 125 206 |
| = | 617977 10 | × | 1 206 |
We obtained :
| x | = | 617977 2060 |
Convert the result to decimal form :
| x | = | 299.988835 |